A certain drug can be used to reduce the acid produced by the body and heal damage to the esophagus due to acid reflux. The manufacturer of the drug claims that more than 93​% of patients taking the drug are healed within 8 weeks. In clinical​ trials, 215 of 229 patients suffering from acid reflux disease were healed after 8 weeks. Test the​ manufacturer's claim at the α=0.05 level of significance.

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A certain drug can be used to reduce the acid produced by the body and heal damage to the esophagus due to acid reflux. The manufacturer of the drug claims that more than
93​%
of patients taking the drug are healed within 8 weeks. In clinical​ trials,
215
of
229
patients suffering from acid reflux disease were healed after 8 weeks. Test the​ manufacturer's claim at the
α=0.05
level of significance.
Because
np01−p0=nothing
 
less than<
equals=
greater than>
not equals≠
​10,
the sample size is
 
greater thangreater than
less thanless than
​5% of the population​ size, and the sample
 
cannot be reasonably assumed to be random,
is given to not be random,
is given to be random,
can be reasonably assumed to be random,
the requirements for testing the hypothesis
 
are
are not
satisfied.
​(Round to one decimal place as​ needed.)
What are the null and alternative​ hypotheses?
 
H0​:
 
sigmaσ
muμ
pp
 
greater than>
not equals≠
equals=
less than<
nothing
versus
H1​:
 
pp
sigmaσ
muμ
 
less than<
equals=
greater than>
not equals≠
nothing
​(Type integers or decimals. Do not​ round.)
Find the test​ statistic,
z0.
 
z0=nothing
​(Round to two decimal places as​ needed.)
Find the​ P-value.
 
​P-value=nothing
​(Round to three decimal places as​ needed.)
Choose the correct conclusion below.
 
 
A.
Reject
the null hypothesis. There
is insufficient
evidence to conclude that more than
93​%
of patients taking the drug are healed within 8 weeks.
 
B.
Reject
the null hypothesis. There
is sufficient
evidence to conclude that more than
93​%
of patients taking the drug are healed within 8 weeks.
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